Though you will not have access to our electronic resources once you've graduated, there are many options available to you when you need to do library research. You can still search Discover, even though you no longer have access to the online content.
If you are affiliated with a college or university (as faculty, staff, or as a student), you will have access to their library subscriptions like databases, ebooks, etc. If you aren't a member of an academic institution but live near one, you may still be able to use many of their collections if you visit their library.
You should also check with your local public library. Many public libraries offer access to a large number of electronic collections, though their focus will be on recreational and lifelong learning, instead of just the primarily scholarly information that an academic library usually offers. For example, if you are a Massachusetts resident, you can access a number of subscription online databases through the Boston Public Library, using a BPL e-card. Consult your local public library for details.